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Finding the Fourth Proportional to 27,349.51, 41,024.27 and 8,629.60

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Solution

The fourth proportional to 27,349.51, 41,024.27 and 8,629.60 is: 12,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.51 : 41,024.27 = 8,629.60 : x
  2. Step 2: Convert to fraction form
    27,349.51/41,024.27 = 8,629.60/x
  3. Step 3: Cross multiply
    27,349.51x = 41,024.27 × 8,629.60
  4. Step 4: Simplify right side
    27,349.51x = 354,023,040.39
  5. Step 5: Solve for x
    x = 354,023,040.39/27,349.51
  6. Step 6: Final answer
    x = 12,944.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.